\frac { 1 } { 2 } \sqrt { 100 + 600 } - 2,5
Evaluate
5\sqrt{7}-2,5\approx 10.728756555
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\frac{1}{2}\sqrt{700}-2,5
Add 100 and 600 to get 700.
\frac{1}{2}\times 10\sqrt{7}-2,5
Factor 700=10^{2}\times 7. Rewrite the square root of the product \sqrt{10^{2}\times 7} as the product of square roots \sqrt{10^{2}}\sqrt{7}. Take the square root of 10^{2}.
\frac{10}{2}\sqrt{7}-2,5
Multiply \frac{1}{2} and 10 to get \frac{10}{2}.
5\sqrt{7}-2,5
Divide 10 by 2 to get 5.
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